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Finding the Fourth Proportional to 168.56, 231.28 and 162.08

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Solution

The fourth proportional to 168.56, 231.28 and 162.08 is: 222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.56 : 231.28 = 162.08 : x
  2. Step 2: Convert to fraction form
    168.56/231.28 = 162.08/x
  3. Step 3: Cross multiply
    168.56x = 231.28 × 162.08
  4. Step 4: Simplify right side
    168.56x = 37,485.86
  5. Step 5: Solve for x
    x = 37,485.86/168.56
  6. Step 6: Final answer
    x = 222.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.